Induced algebras
Induced isomorphisms of certain ternary semigroups
Inequalities for a Pair of Maps S x S ... S with S a Finite Set.
Infinitary varieties of structures closed under the formation of complex structures
Infinite algebras with 3-transitive groups of weak automorphisms
The infinite algebras with 3-transitive groups of weak automorphisms are investigated. Among others it is shown that if an infinite algebra with 3-transitive group of weak automorphisms has a nontrivial idempotent polynomial operation then either it is locally functionally complete or it is polynomially equivalent to a vector space over the two element field or it is a simple algebra that is semi-affine with respect to an elementary 2-group. In the second and third cases the group of weak automorphisms...
Infinite tree algebras
Interpolation in congruence permutable algebras
Intersection Graphs of Set Families Closed under Intersection and Satisfying the Descending Chain Condition
Intervals in partial monounary algebras
In this paper the notion of an interval in a partial monounary algebra is introduced and pairs , of partial monounary algebras are investigated such that each interval in is also an interval in , and conversely.
Introduction to coalgebra.
Invariance groups of finite functions and orbit equivalence of permutation groups
Which subgroups of the symmetric group Sn arise as invariance groups of n-variable functions defined on a k-element domain? It appears that the higher the difference n-k, the more difficult it is to answer this question. For k ≤ n, the answer is easy: all subgroups of Sn are invariance groups. We give a complete answer in the cases k = n-1 and k = n-2, and we also give a partial answer in the general case: we describe invariance groups when n is much larger than n-k. The proof utilizes Galois connections...
Invariants of the rational equivalence.
Inverse semirings and their lattice of congruences
Isomorphic algebraic pre-closures and equivalent set-systems
Isomorphisms of products of infinite connected graphs
Isotone analogs of results by Mal'tsev and Rosenberg.
Isotopy invariant quasigroup identities
According to S. Krstić, there are only four quadratic varieties which are closed under isotopy. We give a simple procedure generating quadratic identities and deciding which of the four varieties they define. There are about 37000 such identities with up to five variables.
Iterative nondeterministic algebras